Area of a rectangle with sides measuring 34.5 and 45.3 feet
2 answers:
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Answer:
b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.
See explanation below.
Step-by-step explanation:
Develop the null and alternative hypotheses for this study?
We need to conduct a hypothesis in order to check if the means for the two groups are different (men have longer mean nose length than women), the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Assuming that we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:
(1)
z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
Let's assume that the calculated statistic is
Since is a right tailed test test the p value would be:
And we know that the p value is 0.225. If we select a significance level for example 0.05 or 0.1 we see that
And on this case we have enough evidence to FAIl to reject the null hypothesis that the means are equal. So then the best conclusion would be:
b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.
Answer: D) (x + 0.5)2 = -0.25
Answer:
The range of possible temperatures is the interval [80.5°,95.5°]
Step-by-step explanation:
Let
x -----> possible temperatures for that day.
we know that
The absolute value inequality of the difference of the possible temperatures and the temperature at noon must be less than or equal to 7.5° F
so
Solve the absolute-value inequality
<em>First case (positive case)</em>
Adds 88 both sides
<em>Second case (negative case)</em>
Multiply by -1 both sides
Adds 88 both sides
therefore
The range of possible temperatures is the interval [80.5°,95.5°]